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3 years ago

12

5/10 is greater, less or equal to 15.50

2 answers:

Sever21 [200]3 years ago

6 0

Answer:

0.5 is less than 15.50

Step-by-step explanation:

5/10 as a decimal is 0.5

Galina-37 [17]3 years ago

4 0

Less than.

5/10 = 0.5 < 15.50

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Cable Strength: A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the ca

KatRina [158]

Answer:

95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

Step-by-step explanation:

We are given that the engineers take a random sample of 45 cables and apply weights to each of them until they break. The mean breaking weight for the 45 cables is 768.2 lb. The standard deviation of the breaking weight for the sample is 15.1 lb.

Since, in the question it is not specified that how much confidence interval has be constructed; so we assume to be constructing of 95% confidence interval.

Firstly, the Pivotal quantity for 95% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean breaking weight = 768.2 lb

s = sample standard deviation = 15.1 lb

n = sample of cables = 45

$\mu$ = population mean breaking strength

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

<u>So, 95% confidence interval for the population mean, </u> $\mu$ <u> is ;</u>

P(-2.02 < $t_4_4$ < 2.02) = 0.95 {As the critical value of t at 44 degree

of freedom are -2.02 & 2.02 with P = 2.5%}

P(-2.02 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.02) = 0.95

P( $-2.02 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.02 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.02 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.02 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

<u>95% confidence interval for</u> $\mu$ = [ $\bar X-2.02 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.02 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $768.2-2.02 \times {\frac{15.1}{\sqrt{45} } }$ , $768.2+2.02 \times {\frac{15.1}{\sqrt{45} } }$ ]

= [763.65 lb , 772.75 lb]

Therefore, 95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

3 0

4 years ago

Graph the system of linear inequalities. y≥2/3 x-3 y<-4x+7

tiny-mole [99]

Answer:

The answer is given in the graph attached.

Step-by-step explanation:

i) The answer is given in the graph attached.

7 0

3 years ago

Triangle ABC has been translated to create triangle A′B′C′. Angles C and C′ are both 32 degrees, angles B and B′ are both 72 deg

lina2011 [118]

Your answer should be d if I’m not mistaken

3 0

3 years ago

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Explain how using<br>basic facts can help you find 10 x 20 x 30 x 40 mentally.<br>

Natasha_Volkova [10]

Answer: 240000

Step-by-step explanation: 10 · 10 · 10 · 10 = 10000

1 · 2 · 3 · 4 = 24

10 · 20 · 30 · 40 = 240000

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3 years ago

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A plumber charges $50 for a house call plus $40 for each hour worked. Let h represent the number of hours worked. Write an expre

Sonja [21]

Answer:

x = 50 + 40h

Step-by-step explanation:

7 0

3 years ago